Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 135/35,750/8840
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 135,750
Greatest Common Factor of Numerators i.e. GCF of 135,750 is 15 .
LCM of Denominators means LCM of 35,8840 as per the given fractions.
LCM of 35,8840 is 61880 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 135,750
3 | 135, 750 |
5 | 45, 250 |
9, 50 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Factors of 135
List of positive integer factors of 135 that divides 135 without a remainder.
1,3,5,9,15,27,45,135
Factors of 750
List of positive integer factors of 750 that divides 750 without a remainder.
1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750
Greatest Common Factor
We found the factors 135,750 . The biggest common factor number is the GCF number.
So the greatest common factor 135,750 is 15.
Lets's calculate LCM of 35,8840
5 | 35, 8840 |
7, 1768 |
∴ So the LCM of the given numbers is 5 x 7 x 1768 = 61880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/61880
Therefore, the GCF of Fractions 135/35,750/8840 is 15/61880
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 35,8840 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,8840) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(35,8840) x common factors =5 x 1 = 5
LCM(35,8840) = ( 35 × 8840 ) / 5
LCM(35,8840) = 309400 / 5
LCM(35,8840) = 61880
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 135/35, 750/8840?
Answer: GCF of Numerators as per given numbers 135/35, 750/8840 is
GCF of Numerators i.e. for 135,750 is 15
LCM of denominators i.e. for 35,8840 is 61880.
Thus, GCF of Fractions is 15/61880.Finally, GCF of Fractions for 135/35, 750/8840 is 15/61880.